1. ROBOT NAVIGATION AI Project Asmaa Sehnouni Jasmine Dsouza Supervised by :Dr. Pei Wang

2. Agenda ■Introduction –Group ■The Problem –Introduction to navigation problem ■Input file ■Random inputs ■Solutions –Breadth First Algorithm –Genetic Programming ■Obstacles ■Comparison between different solutions ■Conclusion

3. Introduction ■Asmaa Sehnouni ■Exchange graduate student from Pierre and Marie Curie University (France) ■Jasmine V Dsouza ■Masters Computer Science (Temple University)

4. The Problem Description: Matrix with different obstacles, start point, end point and initial direction of robot. The goal is to find the shortest path between the start point and end point avoiding the obstacles.

5. Input File We can have a specific matrix defined in a file: First line: number of rows and columns The line : 4 2 1 4 “east” defines : (4,2) coordinate of the start point, (1,4) coordinate of the end point, “east” the start direction. The last line : defines end of the file In the middle is the matrix where: 0 defines space that can be travelled by robot 1 defines an obstacle

6. Input File

7. Random inputs We can generate a random matrix: Choose the number of rows Choose the number of columns Choose the number of obstacles From this user provided information, we will generate a random matrix with random places of obstacles and random start point, end point and direction.

8. Random

9. Solution ■Breadth First Algorithm : –We generate a graph that has as a root the start point. –Once done we explore all possible solutions taking in consideration obstacles and the time. –The path is showed in a graph and written in a file called : “Solution”.

10. Solution

11. Demonstration ■Input File: –https://www.youtube.com/watch?v=3mE25v6721chttps://www.youtube.com/watch?v=3mE25v6721c

12. Alternate Solution ■Genetic Programming –We solved for a certain start and end point, and obstacle locations. –We randomly generate different individuals that in our case represent the path –Then, in our population we give to each random individual, a value (fitness function) to evaluate it –Hence, we choose the best individuals for each generation and create using them new individuals for the NEXT generation. –After 100 iterations of population we can evaluate our random path, which matches the correct path.

13. Demonstration ■Genetic Programming –https://www.youtube.com/watch?v=iRBynTJXi10https://www.youtube.com/watch?v=iRBynTJXi10

14. Obstacles ■ Breadth First Algorithm : –How to generate the graph –How to choose the short path ■ Genetic Algorithm : –How to evaluate the individuals (fitness function) –How to generate the new Child

15. Comparison between Solutions ■Breadth First Algorithm: –Easy to program, understand –Quick solution –Guaranteed Solution ■Genetic Algorithm: –Take time –Not guaranteed solution –Not easy to understand

16. Conclusion ■A navigation path is a common problem. ■It can be solved using different solutions: Breath First Algorithm, A* Algorithm and Genetic programming ■The quick solution is to use Breath First Algorithm ■This kind of exercises is used to solve robotic path and GPS.

17. Thank You!